Lesson 6: Measuring Trees

Size: px
Start display at page:

Download "Lesson 6: Measuring Trees"

Transcription

1 Review and Introduction Lesson 6: Measuring Trees In Lesson 4 and Lesson 5, you learned how to establish either a fixed plot or a variable plot. With your plot established and your in trees tallied, now it is time to measure the trees in the plot as representative samples of the trees in your stand. Learning Objectives: By the end of this lesson, you will be able to: 1. Measure tree diameter at breast height (DBH) 2. Measure total tree height 3. Determine the live crown ratio 4. Determine tree age Materials Needed: 1. Diameter tape or woodland stick 2. Clinometer or woodland stick 3. Increment borer (optional) 4. Data recording sheets I. Getting Started You will need to record data about the trees in your plot. We suggest downloading and printing a plot data recording sheet to help you organize your data. You can print a sheet for each plot that you plan to do, and they can even be printed on waterproof paper (available from forestry suppliers) to create durable, all-weather plot cards. The data recording sheet with this lesson was specifically designed for use with the LMS Inventory Wizard software (which will be covered in Lesson 8), but it is useful even if you do not plan to use the software. First record tree species for each tree in your plot. Books on tree identification are commercially available and may also be available at your local library. Your Local Extension Forester is another good source for tree identification resources, some of which may be available at no charge from your local Extension Service. II. Measuring tree diameter After recording tree species, the next step is to measure the diameter of each tree. Diameter is the width of a circle or cylinder; in this case the stem of the tree. Tree stems have taper (they are slightly cone-shaped), such that they are wider at the base and narrower further up. Thus, diameter will vary based on how high up on the stem of the tree you measure it. A standardized height for measuring tree diameter has been established. This is known as breast height, which is defined as 4.5 feet (54 inches) above the ground, on the uphill side of the tree. Washington State University Extension 1

2 Use a measuring tape to figure out how high up breast height is on you. Memorize this spot (e.g. the next to the top button on your shirt or coat 1 ) so that as you stand next to a tree, you know where to measure diameter. Using a diameter tape We will talk about two ways to measure diameter at breast height (DBH). The most accurate way is to use a special measuring tape known as a diameter tape. A diameter tape is calibrated such that circumference measurements are automatically converted to diameter (i.e. the measurement units have been divided by the constant Pi so that you do not have to do the mathematical conversion from circumference to diameter). Thus while you are physically measuring the circumference of the tree, you are reading the measurement in diameter units. 2 If you do not have a diameter tape, you can use a regular cloth measuring tape and divide your circumference measurement by Pi (3.14) to convert to diameter. To measure DBH, wrap the diameter tape around the tree at breast height, making sure the tape is level and not twisted. Most diameter tapes will give you diameter to the nearest 1/10th inch. The diameter measurement is read where the tape overlaps with the zero marker (Figure 6-1). If the tree is large, it is helpful to work with a partner to wrap the tape around the tree. Many diameter tapes also have a nail or hook on the end that you can stick into the tree to hold the end of the tape in place while you wrap it around. Figure 6-1: To measure DBH, wrap a diameter tape around the tree at breast height, making sure the tape is level and not twisted. The diameter measurement is read where the tape overlaps with the zero marker. In this case, the DBH of this tree is 34.0 inches. Watch a video clip of how to use a diameter tape: mms:// Washington State University Extension 2

3 Using a woodland stick A second way to measure DBH is to use a woodland stick (also called a Biltmore stick or a cruiser stick). These special measuring sticks are inexpensive compared to diameter tapes and they are quick and easy to use, but they are not as accurate as a diameter tape. To use a woodland stick, find the side of the stick that is marked for tree diameter. With this side facing you, hold the stick up against the tree at breast height. The stick should be 25 inches away from your eye, which is a comfortable arm s reach for an average person. Keeping the stick level and perpendicular to your line of sight, visually line up the left side of the stick with the left edge of the tree. Now, keeping your head still, move your eyes to the right edge of the tree and read where it falls on the stick (Figure 6-2). Note that woodland sticks usually only measure to the nearest inch (not as precise as the diameter tape). Since trees are not perfect cylinders, you should measure two adjacent sides of the tree and average the values together to estimate DBH. Quick steps Measuring DBH with a woodland stick 1. Hold the stick against the tree at breast height, 25 inches from your eye. 2. Visually line up the left edge of the stick with the left edge of the tree. 3. Moving your eyes (not your head!) read where the right edge of the tree falls on the stick. 4. Repeat the measurement for a different side of the tree and take the average. Figure 6-2: To measure DBH with a woodland stick, hold the stick against the tree at breast height, 25 inches from your eye. Keeping the stick level and perpendicular to your line of sight, line the end up visually with the left side of the tree. Then move your eyes (not your head) to read diameter on the right side of the tree. In this case, the tree whose DBH measured 34.0 inches with the diameter tape in Figure 6-1 measures between 33 and 34 inches with the woodland stick. Watch a video clip of how to measure DBH with a woodland stick: mms:// Washington State University Extension 3

4 III. Measuring tree height After recording diameter for each tree, the next step is to measure tree height. Unlike with diameter, you may not need to measure the height of every tree in the plot if you are going to be using the Landscape Management System (LMS) computer program (Lesson 8 and Lesson 9) with your inventory data. However if you plan to manually compute variables such as tree volume per acre (Lesson 10), you may need to measure every tree height. 3 If you are using LMS, in general you should plan to measure a minimum of one tree height per plot. As with other aspects of inventory sampling, it is desirable to be systematic when selecting a tree to take a height measurement. One method is to start from either north or whatever direction you were traveling to reach your plot, go clockwise around your plot and select the first in tree to use for your height measurement. The tree should be representative of your plot in terms of species and size. For instance, if your plot is predominantly comprised of large, dominant conifers and the first tree you come to is a suppressed hardwood or a tree with a broken top, do not use that tree for your height measurement. Rather, keep moving clockwise until you find the first tree that is adequately representative of the trees in your plot. If you have several key species present in your plot, you may wish to work your way around the plot and select the first adequately representative tree of each species. If you wish to compute site index (see Lesson 7), make sure you include height measurements for several dominant trees of whatever species you wish to compute site index for. Using a clinometer As with DBH, we will talk about two different ways to measure height. The first way is to use a tool called a clinometer. A clinometer is a vertical angle gauge that measures the slope from your eye to either the top or bottom of the tree. Looking with one eye into the hole of the clinometer, you will see a graduated scale showing the slope measurements. The scale will move up or down as the clinometer is tilted up or down. Different clinometers measure slopes in different units, so it is important to consult the instructions for your clinometer to confirm what units are being measured. Commonly clinometers list the slope in degrees on the left half of the scale and in percent on the right half of the scale. The steps described below correspond to percent slope measurements. By definition, percent slope is the distance up or down per 100 feet of horizontal distance. Thus a reading of 30% means a height or depression of 30 feet, when measured at 100 feet horizontal distance. When measuring the height of a tree, you will need to move away from the tree to a place where you can see the top. While you can choose any distance at which you can see the top of the tree and the clinometer reading is not off the scale (usually 150%, though accuracy may deteriorate beyond 120% or so), because you are working in percent a distance of exactly 100 feet will greatly simplify the calculation to determine tree height. For trees that are tall enough such that 100 feet is not far enough back to accommodate the scale of the clinometer (or to see the top of the tree), you will have to move back further to obtain an accurate reading. For very short trees, you may only need to move back 50 or 75 feet. Washington State University Extension 4

5 You can measure your distance away from the tree using a cloth measuring tape or a retractable logger s tape. When choosing a spot from which to measure a tree, if you are on a slope try to stay on the same level as the tree. If you go significantly uphill or downhill from the tree, your distance measurement (and subsequent height measurement) will not be accurate. Quick steps Measuring tree height with a clinometer 1. Move back a measured distance from the tree, preferably 100 feet. 2. Looking at the top of the tree with one eye and through the clinometer with the other, line up the marker in the clinometer with the top of the tree and read the value on the percent scale. 3. Repeat this for the bottom of the tree. If the percentage to the bottom is on the negative part of the scale, add it to the percentage from Step 2; if it is positive, subtract it. 4. Multiply the combined percentage by the distance back from the tree to determine total tree height. Example: Distance from tree = 100 Tree top reading = +90% Tree bottom reading = -5% Combined reading = 90% + 5% = 95% Tree height = 95% x 100 = 95 Once you have measured the distance from the tree, you can use the clinometer to measure the slope between your eye and both the top and bottom of the tree (Figure 6-3). Looking into the clinometer with one eye (you cannot actually look through the clinometer) and sighting the top of the tree with your other eye, visually line up the horizontal marker in the clinometer with the top of the tree (Figure 6-4). It may take some practice to get your eyes to work together for this. Once the horizontal marker in the clinometer is lined up, read the corresponding value on the percent scale. Now repeat this procedure for the bottom of the tree. 4 Assuming the angle to the top of the tree reads a positive value, if the angle to the bottom of the tree reads a negative value, you add the bottom value to the top value to get the total percent slope. In the case where the angle to the bottom of the tree also reads a positive value, such as when you are standing downhill from the tree (Figure 6-5), you would instead subtract the bottom value from the top value to get the total percent slope. Washington State University Extension 5

6 Figure 6-3: A clinometer measures the percent slope between your eye and both the top and bottom of the tree. In this case the clinometer reads 90% up and 5% down, for a total of 95%. Since the tree is 100 feet away, the height of the tree is 0.95 x 100 = 95 feet. Figure 6-4: When using a clinometer, look into the clinometer with one eye and look at the top of the tree with the other. Line up the horizontal marker in the clinometer with the top of the tree and read the value (in this case 90%). Washington State University Extension 6

7 Figure 6-5: When standing downhill from the tree, the clinometer may read up to the bottom of the tree rather than down. In this case the 5% up to the bottom of the tree would be subtracted from the 100% up to the top of the tree for a total of 95%. Since the tree is 100 feet away, the height of the tree is 0.95 x 100 = 95 feet. The total percent slope is equal to vertical distance (i.e. the total height of the tree from top to bottom) divided by the horizontal distance away from the tree. Since we know the horizontal distance and the total percent slope, we can solve for tree height by multiplying the percent slope (expressed as a decimal) by the horizontal distance (Figures 6-4 and 6-5). This is why being exactly 100 feet away makes for the simplest calculation a total slope of 95% (0.95 if expressed as a decimal) means the tree is 95 feet tall (e.g. Figure 6-4). When using horizontal distances other than 100 feet, such as in brushy conditions, it may be helpful to have a hand calculator to assist with the calculation. Watch a video clip of how to measure tree height with a clinometer: mms:// Using a woodland stick You can also measure tree height using a woodland stick. This is an inexpensive option if you do not have a clinometer, though it is not as accurate. Similar to using a clinometer, you will need to use a cloth tape or logger tape to measure back from the tree a specified distance. With the woodland stick, though, this is a fixed, prescribed distance, usually 66 feet or 100 feet depending on your region and the stick you are using. Find the side of the woodland stick that is marked for tree height, and with this side facing you, hold the stick vertical. The stick should be 25 inches away from your eye, which is a comfortable arm s reach for an average person. Keeping the stick straight, visually line up the bottom of the stick with the bottom of the tree (Figure 6-6). Now, keeping your head still, move your eyes to the top of the tree and read where it falls on the stick (Figure 6-7). Washington State University Extension 7

8 Quick steps Measuring tree height with a woodland stick 1. Stand the prescribed distance away from the tree (usually 66 or 100 depending on the woodland stick). 2. Hold the stick vertically, 25 inches from your eye 3. Visually line up the bottom edge of the stick with the bottom of the tree Figure 6-6: When measuring height with a woodland stick, hold the stick 25 inches from your eye and keep the stick vertically straight. 4. Moving your eyes (not your head!) read where the top of the tree falls on the stick Figure 6-7: When measuring height with a woodland stick, visually line up the bottom of the stick with the bottom of the tree and then, moving your eyes and not your head, see where the top of the tree falls on the stick and read the corresponding height value. Watch a video clip of how to measure tree height with a woodland stick: mms:// Washington State University Extension 8

9 IV. Determine live crown ratio The live crown ratio is the proportion of a tree s height that is green or in crown (Figure 6-8). This can be determined with a simple visual estimate. Live crown ratio should be estimated for each tree in the plot. Figure 6.8: The live crown ratio is the proportion of the height of the tree that is green; in this case approximately 50%, which is commonly recorded as 0.5. V. Determine tree age (optional) While tree age is not a required part of forest inventory, it may be useful to gather this information. You can determine the age of a stand by taking ages of several dominant trees from different plots and computing the average of these values. You may also want to measure the ages of the same dominant trees for which you measured height, in order to compute the site index of your stand (Lesson 7). To determine the age of a tree, you will need a special tool called an increment borer. An increment borer is a hollow drill that allows you to extract a thin segment of wood called an increment core from the stem of the tree. The increment core will show the annual rings (Figure 6-9), which can be counted to determine tree age. Washington State University Extension 9

10 Figure 6-9: An increment borer allows you to extract a small core sample from the stem of the tree with which you can determine age by counting the annual rings. An increment borer has 3 parts: the handle, the bit, and the extractor (Figure 6-10). To assemble the increment borer, the back end of the bit fits into a notch in the center of the handle and clips into place (Figure 6-11). The extractor should be kept separate. 5 Figure 6-10: An increment borer has three parts: the handle, the bit, and the extractor. Figure 6-11: An increment borer is assembled by inserting the back end of the bit into a notch in the center of the handle and clipping into place. Washington State University Extension 10

11 To use the increment borer, begin drilling into the tree at breast height by turning the handle clockwise. Make sure to keep the increment borer level and drill straight in toward the center of the tree (Figure 6-12). You may need to apply pressure towards the tree when first starting until the bit catches on the wood (i.e. push and turn at the same time). You may hear creaking or popping sounds as you drill into the tree. Be sure to drill in far enough to reach the center of the tree. Figure 6-12: When using an increment borer, drill in straight toward the center of the tree at breast height. Once you have drilled far enough to reach the center of the tree, carefully insert the extractor into the bit. You will feel some resistance. Once the extractor is all the way in, back the bit out one full turn (counterclockwise). Now slowly pull the extractor out; the increment core should come with it. If the core does not come out on the first try, reinsert the extractor and try again. Once you have extracted the increment core, set it and the extractor aside. Be careful with the increment core, as it is delicate and may fall apart easily. You should immediately begin removing the bit from the tree by turning the handle counterclockwise, as the increment borer may become stuck if left in the tree too long. Once the increment borer has been removed from the tree, you can return to your increment core and begin counting rings. If you successfully reached the center of the tree, you should see a round or oval shaped ring on the increment core that marks the center (Figure 6-13). Begin counting with this center ring and count outward to end of the increment core. Note that you are counting breast height age, which is typically the value of interest. If you also wanted to know the total age, adding 4-5 years to the breast height age will in most cases give you a reasonable approximation. Washington State University Extension 11

12 Figure 6-13: Begin counting rings with the round or oval shaped ring that marks the center of the tree. Quick steps Determine tree age with an increment borer 1. Assemble the increment borer by attaching the bit to the handle; set the extractor aside. 2. Drill in toward the center of the tree at breast height. 3. When you have gone far enough to reach the center of the tree, insert the extractor and reverse the bit 1 full turn. 4. Slowly remove the extractor. If the increment core does not come out the first time, try again. 5. Once the core is out, set it and the extractor aside. 6. Immediately remove the increment borer from the tree, before it becomes stuck. 7. Once the increment borer is back out of the tree, count the rings on the increment core to determine breast height age. Add several years to estimate total age. Watch a video clip of how to determine tree age with an increment borer: mms:// When you have finished counting the rings, you may save or discard the increment core. Inserting the core back into the tree is not recommended, as this may introduce pathogens into Washington State University Extension 12

13 the stem of the tree. The tree should be able to heal from this small wound on its own and is not likely to suffer any ill effects. It is important to take care of your increment borer so that it will last you for many uses. Make sure to always protect the sharp end of the bit from getting chipped or dented. Do not let it come in contact with metal or rock. Should you need to sharpen the bit, consult the instructions that came with your increment borer for proper procedures. After you have finished using the increment borer, you can clean it by wiping down the pieces with a soft cloth. Rubbing beeswax on the exterior of the bit will protect the surface and provide lubrication for future uses. You may also wish to spray a small amount of aerosol lubricant inside the bit for protection, lubrication, and to dissolved tree pitch. On your own: Measure all the in trees in your plot. Identify the species of each tree and measure each tree s DBH. Estimate the crown ratio of each tree. Select at least a couple of trees per plot to measure for height, representing different species and diameter classes. If you wish to compute age and/or site index, select a dominant tree to measure both height and age. Record the data on your plot data recording sheet. Repeat these steps for the rest of the plots in your stand Next Steps: Test your knowledge by taking a Short Quiz. Go to the Next Lesson. 1 If you always wear the same cruiser vest, you can permanently mark a spot on it that is 4.5 feet above the ground as you are wearing it. 2 Note: in many European countries, foresters use the circumference, called girth, but in the US and Canada, our forestry measurements are based on diameters. 3 If you are going to compute volume manually using a volume table or volume equation (see Lesson 10), you may need the height of each tree. Some volume tables only require DBH, and there are also some inventory systems, such as the Tariff System in the Pacific Northwest, which allow volume to be computed using detailed measurements such as height from only a few trees. If you plan to compute volume manually, get help from your local Extension Forester to determine what tree height information you will need to utilize a locally applicable volume table. 4 It may be helpful to have a partner stand at the base of the tree you are measuring. This will help you determine where the base of the tree is. Your partner can also shake the tree to help you identify the top you would be surprised at how seemingly insignificant thrusts against even a large tree can cause the top to noticeably move. 5 The extractor is easily bent or lost in heavy brush. We suggest that you tie a piece of bright-colored ribbon on to the extractor that will make it easier to find in the event it is dropped. Washington State University Extension 13

Lesson 10: Basic Inventory Calculations

Lesson 10: Basic Inventory Calculations Lesson 10: Basic Inventory Calculations Review and Introduction In the preceding lessons, you learned how to establish and take measurements in sample plots. You can use a program like LMS to calculate

More information

Lesson 8: LMS Inventory Wizard

Lesson 8: LMS Inventory Wizard Review and Introduction Lesson 8: LMS Inventory Wizard In earlier lessons, you learned how to establish and take measurements in sample plots. You also downloaded and installed a computer program called

More information

Financial maturity is when the rate of value

Financial maturity is when the rate of value Cutting at Financial Maturity: Maximizing the economic return of your woodland Woodland owners harvest trees for financial and personal reasons. Deciding when is the optimal time to harvest is difficult

More information

Gear PEPSI CAN STOVE INSTRUCTIONS

Gear PEPSI CAN STOVE INSTRUCTIONS Gear PEPSI CAN STOVE INSTRUCTIONS [NOTE: Updated Instructions are now available. The new stove is less likely to develop flame leaks and the fuel/air mixture is improved. Instructions for a simmer ring

More information

STEADYfast Stabilizer Installation Notes Fifth Wheel and Travel Trailers 11/23/13

STEADYfast Stabilizer Installation Notes Fifth Wheel and Travel Trailers 11/23/13 STEADYfast Stabilizer Installation Notes Fifth Wheel and Travel Trailers 11/23/13 (See Supplemental Instructions for trailers with heavy duty round footplates and/or Power Leveling Systems) PHONE SUPPORT

More information

Physics 41, Winter 1998 Lab 1 - The Current Balance. Theory

Physics 41, Winter 1998 Lab 1 - The Current Balance. Theory Physics 41, Winter 1998 Lab 1 - The Current Balance Theory Consider a point at a perpendicular distance d from a long straight wire carrying a current I as shown in figure 1. If the wire is very long compared

More information

OD 1401 9 PRECISION MEASURING INSTRUMENTS

OD 1401 9 PRECISION MEASURING INSTRUMENTS SUBCOURSE EDITION OD 1401 9 PRECISION MEASURING INSTRUMENTS PRECISION MEASURING INSTRUMENTS SUBCOURSE OD1401 EDITION 9 Unites States Army Combined Arms Support Command Fort Lee, VA 23801-1809 5 CREDIT

More information

Picnic Table Plans. Made out of a single sheet of plywood, it s also portable! By Kevin Ayer. This children's picnic table would

Picnic Table Plans. Made out of a single sheet of plywood, it s also portable! By Kevin Ayer. This children's picnic table would Picnic Table Plans Made out of a single sheet of plywood, it s also portable! By Kevin Ayer Materials One 4- by 8-foot sheet of 3 4-inch AC plywood Twelve 11 4-inch wood screws Primer and exterior paint

More information

Cylinder Volume Lesson Plan

Cylinder Volume Lesson Plan Cylinder Volume Lesson Plan Concept/principle to be demonstrated: This lesson will demonstrate the relationship between the diameter of a circle and its circumference, and impact on area. The simplest

More information

FUNDAMENTALS OF LANDSCAPE TECHNOLOGY GSD Harvard University Graduate School of Design Department of Landscape Architecture Fall 2006

FUNDAMENTALS OF LANDSCAPE TECHNOLOGY GSD Harvard University Graduate School of Design Department of Landscape Architecture Fall 2006 FUNDAMENTALS OF LANDSCAPE TECHNOLOGY GSD Harvard University Graduate School of Design Department of Landscape Architecture Fall 2006 6106/ M2 BASICS OF GRADING AND SURVEYING Laura Solano, Lecturer Name

More information

Building an Off-Center Fixture for Turning Pendants

Building an Off-Center Fixture for Turning Pendants Building an Off-Center Fixture for Turning Pendants Turning a pendant off-center with most available metal pendant chucks means that you will have a significant amount of mass off center, which will limit

More information

Revision Notes Adult Numeracy Level 2

Revision Notes Adult Numeracy Level 2 Revision Notes Adult Numeracy Level 2 Place Value The use of place value from earlier levels applies but is extended to all sizes of numbers. The values of columns are: Millions Hundred thousands Ten thousands

More information

If you put the same book on a tilted surface the normal force will be less. The magnitude of the normal force will equal: N = W cos θ

If you put the same book on a tilted surface the normal force will be less. The magnitude of the normal force will equal: N = W cos θ Experiment 4 ormal and Frictional Forces Preparation Prepare for this week's quiz by reviewing last week's experiment Read this week's experiment and the section in your textbook dealing with normal forces

More information

FREEBIRD THE ORIGINAL D.I.Y. ORNITHOPTER! Tools and Glue. Required Materials

FREEBIRD THE ORIGINAL D.I.Y. ORNITHOPTER! Tools and Glue. Required Materials Do not try to make your ornithopter using "household materials". If you want it to fly, you have to build it right. FREEBIRD THE ORIGINAL D.I.Y. ORNITHOPTER! Wingspan: 16 inches Weight: 1/4 ounce The Ornithopter

More information

Guidelines for Earthquake Bracing Residential Water Heaters

Guidelines for Earthquake Bracing Residential Water Heaters Guidelines for Earthquake Bracing Residential Water Heaters Department of General Services Division of the State Architect In accordance with the Health and Safety Code Section 19215, the Division of the

More information

BUILD A TABLETOP LOOM

BUILD A TABLETOP LOOM BUILD A TABLETOP LOOM From 1" x 2" stock (actual 3/4" x 1"1/2) cut: 4 pieces 15" long 4 pieces 5"1/2 long Use the above to make 2 frames for the front and back of the loom. From 1" x 4" stock (actual 3/4"

More information

SCA Calligraphy 101. Marko Evanovich Panfilov September 26th, A.S. 37 (2002)

SCA Calligraphy 101. Marko Evanovich Panfilov September 26th, A.S. 37 (2002) SCA Calligraphy 101 Marko Evanovich Panfilov September 26th, A.S. 37 (2002) These tips and guidelines are based purely on personal experience and should not be considered a complete discussion of the subject.

More information

Instructions for Using the Watch Works Tool Kit to Change a Watch Battery

Instructions for Using the Watch Works Tool Kit to Change a Watch Battery Instructions for Using the Watch Works Tool Kit to Change a Watch Battery Click on this link http://www.allamericanwatches.com/site/626101/product/e2306-a to purchase the Watch Battery Replacement Tool

More information

Radius Compensation G40, G41, & G42 (cutter radius compensation for machining centers, tool nose radius compensation for turning centers)

Radius Compensation G40, G41, & G42 (cutter radius compensation for machining centers, tool nose radius compensation for turning centers) Radius Compensation G40, G41, & G42 (cutter radius compensation for machining centers, tool nose radius compensation for turning centers) These features are commonly well covered in most basic CNC courses.

More information

Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)

Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes) Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.

More information

Are My. Pine Trees. Ready To Thin?

Are My. Pine Trees. Ready To Thin? Are My Pine Trees Ready To Thin? ARE MY PINE TREES READY TO THIN? One question private forest landowners ask most frequently is, Are my pine trees ready to thin? There is no definite answer to this question,

More information

Guidelines for Earthquake Bracing of Residential Water Heaters

Guidelines for Earthquake Bracing of Residential Water Heaters Guidelines for Earthquake Bracing of Residential Water Heaters Department of General Services Division of the State Architect 1102 Q Street, Suite 5100 Sacramento, CA 95814 Phone: (916) 324-7099 Fax: (916)

More information

Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)

Area of Parallelograms, Triangles, and Trapezoids (pages 314 318) Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base

More information

AwanaGames Circle. Official. Diagram 1. Key to diagram: Pin & Striped Bean Bag C Diagonal or Starting Line. B Scoring Pins, or Center.

AwanaGames Circle. Official. Diagram 1. Key to diagram: Pin & Striped Bean Bag C Diagonal or Starting Line. B Scoring Pins, or Center. Official AwanaGames Circle Diagram 1 The AwanaGames Circle is 30 feet in diameter surrounded by a 37-40 foot square. Each team is designated by a color and occupies a quarter-circle or one side of that

More information

Research question: How does the velocity of the balloon depend on how much air is pumped into the balloon?

Research question: How does the velocity of the balloon depend on how much air is pumped into the balloon? Katie Chang 3A For this balloon rocket experiment, we learned how to plan a controlled experiment that also deepened our understanding of the concepts of acceleration and force on an object. My partner

More information

Algebra Geometry Glossary. 90 angle

Algebra Geometry Glossary. 90 angle lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:

More information

Easy Machining Center Setup

Easy Machining Center Setup White Paper Document No. MWA-072-EN_01_1404 April 2014 Easy Machining Center Setup Using FANUC s Direct Input of Workpiece Origin Setting Measured and Tool Length Measurement features to easily establish

More information

Pole Lathe and Shave Horse Design

Pole Lathe and Shave Horse Design Pole Lathe and Shave Horse Design These pictures and accompanying words are Copyright Michael Hughes February 2002. They are not to be re-produced, in part or whole, without permission from the author.

More information

Geometry Notes PERIMETER AND AREA

Geometry Notes PERIMETER AND AREA Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

More information

INSTRUCTIONS FOR CHAIN LINK INSTALLATION Chain Link fence & Posts Meshdirect.co.uk

INSTRUCTIONS FOR CHAIN LINK INSTALLATION Chain Link fence & Posts Meshdirect.co.uk INSTRUCTIONS FOR CHAIN LINK INSTALLATION Chain Link fence & Posts Meshdirect.co.uk This guide explains how to correctly install our chain link fencing and post system. The guide provides details of the

More information

GAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book

GAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book GAP CLOSING Volume and Surface Area Intermediate / Senior Student Book Volume and Surface Area Diagnostic...3 Volumes of Prisms...6 Volumes of Cylinders...13 Surface Areas of Prisms and Cylinders...18

More information

The purposes of this experiment are to test Faraday's Law qualitatively and to test Lenz's Law.

The purposes of this experiment are to test Faraday's Law qualitatively and to test Lenz's Law. 260 17-1 I. THEORY EXPERIMENT 17 QUALITATIVE STUDY OF INDUCED EMF Along the extended central axis of a bar magnet, the magnetic field vector B r, on the side nearer the North pole, points away from this

More information

Accelerometers: Theory and Operation

Accelerometers: Theory and Operation 12-3776C Accelerometers: Theory and Operation The Vertical Accelerometer Accelerometers measure accelerations by measuring forces. The vertical accelerometer in this kit consists of a lead sinker hung

More information

Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in

Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in

More information

HURRICANE MITIGATION RETROFITS FOR EXISTING SITE-BUILT SINGLE FAMILY RESIDENTIAL STRUCTURES

HURRICANE MITIGATION RETROFITS FOR EXISTING SITE-BUILT SINGLE FAMILY RESIDENTIAL STRUCTURES HURRICANE MITIGATION RETROFITS FOR EXISTING SITE-BUILT SINGLE FAMILY RESIDENTIAL STRUCTURES 101 Retrofits Required. Pursuant to Section 553.844 553.884, Florida Statutes, strengthening of existing site-built,

More information

Imperial Length Measurements

Imperial Length Measurements Unit I Measuring Length 1 Section 2.1 Imperial Length Measurements Goals Reading Fractions Reading Halves on a Measuring Tape Reading Quarters on a Measuring Tape Reading Eights on a Measuring Tape Reading

More information

Auto-belay Cable Replacement Process

Auto-belay Cable Replacement Process Auto-belay Cable Replacement Process Version 2.00 WARNING: The air pressure in the auto-belay system is what causes the cable to be retracted when releasing the cable or climbing the wall with the cable

More information

GAP CLOSING. 2D Measurement GAP CLOSING. Intermeditate / Senior Facilitator s Guide. 2D Measurement

GAP CLOSING. 2D Measurement GAP CLOSING. Intermeditate / Senior Facilitator s Guide. 2D Measurement GAP CLOSING 2D Measurement GAP CLOSING 2D Measurement Intermeditate / Senior Facilitator s Guide 2-D Measurement Diagnostic...4 Administer the diagnostic...4 Using diagnostic results to personalize interventions...4

More information

CHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.

CHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder. TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has

More information

Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

More information

XPULT INSTRUCTIONS BASIC VERSION

XPULT INSTRUCTIONS BASIC VERSION XPULT INSTRUCTIONS BASIC VERSION The Xpult is a device for launching table tennis balls or other light plastic balls. Most likely, you will have received the Xpult from your teacher or somebody else who

More information

MEASURING TOOLS AND TECHNIQUES

MEASURING TOOLS AND TECHNIQUES CHAPTER 2 MEASURING TOOLS AND TECHNIQUES When performing maintenance and repair tasks on catapults and arresting gear equipment, you must take accurate measurements during inspection, to determine the

More information

Raised Panel Doors Made Simple With Freud s 2+2 Raised Panel Bit Set

Raised Panel Doors Made Simple With Freud s 2+2 Raised Panel Bit Set Raised Panel Doors Made Simple With Freud s 2+2 Raised Panel Bit Set Congratulations on your purchase of Freud s world class 2 + 2 Raised Panel Bit Set. This revolutionary design combines two small wings

More information

How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left. The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

More information

HAND CRIMP TOOL Specification Sheet Order No. 63819-0900

HAND CRIMP TOOL Specification Sheet Order No. 63819-0900 HAND CRIMP TOOL Specification Sheet Order No. 63819-0900 FEATURES TYPE 4D ΠA full cycle ratcheting hand tool ensures complete crimps ΠErgonomic soft grip handles for comfortable crimping ΠA precision

More information

Assembly and Usage Instructions

Assembly and Usage Instructions Assembly and Usage Instructions A Product 5885 West Van Horn Tavern Road Columbia, MO 65203 www.caldwellshooting.com Instruction #1001667 Limited Warranty Every Caldwell product is warrantied to be free

More information

HALE PET DOOR INSTALLATION INSTRUCTIONS HALE STANDARD PANEL MODEL

HALE PET DOOR INSTALLATION INSTRUCTIONS HALE STANDARD PANEL MODEL HALE PET DOOR INSTALLATION INSTRUCTIONS HALE STANDARD PANEL MODEL Please read these instructions carefully and completely before attempting to install Hale Pet Doors; they will guide you through the steps

More information

SolidWorks Tutorial 4 CANDLESTICK

SolidWorks Tutorial 4 CANDLESTICK SolidWorks Tutorial 4 CANDLESTICK Candlestick In this tutorial you will make a simple container and a candlestick out of sheetmetal. You will learn about working with sheet metal in SolidWorks. We will

More information

TOOLS FOR SELF RELIANCE REFURBISHING SHEET No 2. Registered Charity No 280437. Saws for Woodworking

TOOLS FOR SELF RELIANCE REFURBISHING SHEET No 2. Registered Charity No 280437. Saws for Woodworking Registered Charity No 280437 Saws for Woodworking Issued December 2002 Registered Charity No 280437 page no 1 SAW TYPES Rip saw For cutting along the grain Crosscut saw [A smaller version is known as a

More information

Geometry Unit 6 Areas and Perimeters

Geometry Unit 6 Areas and Perimeters Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose

More information

Industrial Strength Rocket Launcher

Industrial Strength Rocket Launcher Industrial Strength Rocket Launcher Description: Instructions for the construction of an industrial strength rocket launcher for use with paper rockets. Materials: Schedule 40 PVC piping and bushings from

More information

Getting Started in Tinkercad

Getting Started in Tinkercad Getting Started in Tinkercad By Bonnie Roskes, 3DVinci Tinkercad is a fun, easy to use, web-based 3D design application. You don t need any design experience - Tinkercad can be used by anyone. In fact,

More information

7.4A/7.4B STUDENT ACTIVITY #1

7.4A/7.4B STUDENT ACTIVITY #1 7.4A/7.4B STUDENT ACTIVITY #1 Write a formula that could be used to find the radius of a circle, r, given the circumference of the circle, C. The formula in the Grade 7 Mathematics Chart that relates the

More information

What is a Mouse-Trap

What is a Mouse-Trap What is a Mouse-Trap Car and How does it Work? A mouse-trap car is a vehicle that is powered by the energy that can be stored in a wound up mouse-trap spring. The most basic design is as follows: a string

More information

Lesson 26: Reflection & Mirror Diagrams

Lesson 26: Reflection & Mirror Diagrams Lesson 26: Reflection & Mirror Diagrams The Law of Reflection There is nothing really mysterious about reflection, but some people try to make it more difficult than it really is. All EMR will reflect

More information

Awning Instructions. Standard Manual 1.5m to 4.5m

Awning Instructions. Standard Manual 1.5m to 4.5m Awning Instructions Standard Manual 1.5m to 4.5m English Standard Manual Instructions Contents Warning 1.5m 3.0m Awnings 4 x Expansion bolts (2 per bracket)** 2 x brackets 1 x Awning 1 x Winder handle

More information

How to become an Operation Christmas Child Shoe Box Character

How to become an Operation Christmas Child Shoe Box Character How to become an Operation Christmas Child Shoe Box Character SUPPLIES A large rectangular box (to look like a shoe box) Cardboard or foam strips, 2 wide, for the lid Large printed Boy or Girl shoe box

More information

www.cornholesupplies.com

www.cornholesupplies.com www.cornholesupplies.com How To Build Regulation Cornhole Boards Home of the Original Cornhole Bags and Boards Supply List: 1-4' X 8' Piece of Plywood (pre sanded) 4-2" X 4" X 8' Studs (2 by 4s make sure

More information

Experiment 3: Magnetic Fields of a Bar Magnet and Helmholtz Coil

Experiment 3: Magnetic Fields of a Bar Magnet and Helmholtz Coil MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2006 Experiment 3: Magnetic Fields of a Bar Magnet and Helmholtz Coil OBJECTIVES 1. To learn how to visualize magnetic field lines

More information

GAP CLOSING. 2D Measurement. Intermediate / Senior Student Book

GAP CLOSING. 2D Measurement. Intermediate / Senior Student Book GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2-D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas

More information

How to Install UnderDeck The Original.

How to Install UnderDeck The Original. How to Install UnderDeck The Original. TOOLS: Chalk Line Caulk Gun Garden hose or water bucket Gloves Hammer or Screw Gun Power Mitre Saw with OSB Blade Pencil Pliers Safety Glasses Straight Edge / Carpenter

More information

Premier & Deluxe 3-Season Room Sliding Glass Door

Premier & Deluxe 3-Season Room Sliding Glass Door DTSSGD-11 Premier & Deluxe 3-Season Room Sliding Glass Door Installation Instructions Screen Door Seal Left Side Track Top Track Assembly Right Side Track Right Side Trim Sliding Glass Door Sliding Screen

More information

All seam allowances are 1/2 unless otherwise noted. All pattern pieces include the seam allowance. Please read all instructions before beginning.

All seam allowances are 1/2 unless otherwise noted. All pattern pieces include the seam allowance. Please read all instructions before beginning. This structured bag has lots of pretty detailing. It s large enough to carry all of your essentials as well. Make it in a great patchwork, or stick to a single fabric! All seam allowances are 1/2 unless

More information

30 minutes in class, 2 hours to make the first time

30 minutes in class, 2 hours to make the first time Asking questions and defining problems Developing and using models Planning and carrying out investigations 30 minutes in class, 2 hours to make the first time 3 12 x 24 x ¾ inch plywood boards 1 x 12

More information

Selection, Use, and Care of Brushes

Selection, Use, and Care of Brushes Wood Finishing & Refinishing Fact Sheet #2 Selection, Use, and Care of Brushes Dr. Leona K. Hawks Home Furnishings and Housing Specialist 1995 HI 22 Good results in wood refinishing depend to a large extent

More information

General Allowances for Insulation & Cladding

General Allowances for Insulation & Cladding TRADE OF Industrial Insulation PHASE 2 Module 1 Sheet Metal and Insulation Fundamentals UNIT: 4 General Allowances for Insulation & Cladding Produced by In cooperation with subject matter expert: Michael

More information

F B = ilbsin(f), L x B because we take current i to be a positive quantity. The force FB. L and. B as shown in the Figure below.

F B = ilbsin(f), L x B because we take current i to be a positive quantity. The force FB. L and. B as shown in the Figure below. PHYSICS 176 UNIVERSITY PHYSICS LAB II Experiment 9 Magnetic Force on a Current Carrying Wire Equipment: Supplies: Unit. Electronic balance, Power supply, Ammeter, Lab stand Current Loop PC Boards, Magnet

More information

VISM CQB Scope Series

VISM CQB Scope Series 1 VISM CQB Scope Series Congratulations on the purchase of your new VISM CQB Scope! The CQB Series of Scopes give you many great options so you can choose the scope that best fits your needs. Backed by

More information

7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s

7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s Unit One: Numbers & Operations Module One: s Day/Date TEKS Activities and Resources Essential Question Aug 25 Aug 26 Aug 27 Aug 28 Aug 29 (SS) (SS) (SS) (SS) - First Day Procedures - Math Class Student

More information

Ampere's Law. Introduction. times the current enclosed in that loop: Ampere's Law states that the line integral of B and dl over a closed path is 0

Ampere's Law. Introduction. times the current enclosed in that loop: Ampere's Law states that the line integral of B and dl over a closed path is 0 1 Ampere's Law Purpose: To investigate Ampere's Law by measuring how magnetic field varies over a closed path; to examine how magnetic field depends upon current. Apparatus: Solenoid and path integral

More information

Indirect Measurement Technique: Using Trigonometric Ratios Grade Nine

Indirect Measurement Technique: Using Trigonometric Ratios Grade Nine Ohio Standards Connections Measurement Benchmark D Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve

More information

Whole Hand Activities

Whole Hand Activities Activities Walk & Flip 5 Baton Twirl Rotate the pencil in, around and between all your fingers like it was a baton. 10 Walk your fingers up the pencil (your index will look like an inchworm climbing the

More information

Speed-Mat Rectangle Cutter

Speed-Mat Rectangle Cutter Speed-Mat Rectangle Cutter 1 Honeycomb baseboard. 2 Left hold down. 14 3 Bottom hold down. 4 4 Left / right rule. 8 5 8 5 Left / right rule pointer. 1 6 Top / bottom rule. 7 Top / bottom rule pointer.

More information

Agriculture, Fisheries and Conservation Department Conservation Branch. Nature Conservation Practice Note No. 02 Revised: June 2006

Agriculture, Fisheries and Conservation Department Conservation Branch. Nature Conservation Practice Note No. 02 Revised: June 2006 Agriculture, Fisheries and Conservation Department Conservation Branch Nature Conservation Practice Note No. 02 Revised: June 2006 Ref: AF GR CON 21/2 Measurement of Diameter at Breast Height (DBH) 1.

More information

ELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES

ELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES ELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES The purpose of this lab session is to experimentally investigate the relation between electric field lines of force and equipotential surfaces in two dimensions.

More information

The GED math test gives you a page of math formulas that

The GED math test gives you a page of math formulas that Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding

More information

Math 1B, lecture 5: area and volume

Math 1B, lecture 5: area and volume Math B, lecture 5: area and volume Nathan Pflueger 6 September 2 Introduction This lecture and the next will be concerned with the computation of areas of regions in the plane, and volumes of regions in

More information

GEAROLOGY 2-1 SPUR GEARS SPUR GEARS

GEAROLOGY 2-1 SPUR GEARS SPUR GEARS GEAROLOGY 2-1 2 2-2 GEAROLOGY COMMON APPLICATIONS: Spur gears are used to Now that you ve been introduced to both Boston Gear and some of the basics of our Gearology course which we like to call Power

More information

The Theory and Practice of Using a Sine Bar, version 2

The Theory and Practice of Using a Sine Bar, version 2 The Theory and Practice of Using a Sine Bar, version 2 By R. G. Sparber Copyleft protects this document. 1 The Quick Answer If you just want to set an angle with a sine bar and stack of blocks, then take

More information

How to Build a Poker Table

How to Build a Poker Table How to Build a Poker Table www.pokertablematerials.com 10-Person Poker Table- 96 x 48 These are step by step instructions for building a poker table. The table will measure 48" x 96" and have a 4" wide

More information

MEASURING WOOD DENSITY FOR TROPICAL FOREST TREES A FIELD MANUAL

MEASURING WOOD DENSITY FOR TROPICAL FOREST TREES A FIELD MANUAL Sixth Framework Programme (2002-2006) MEASURING WOOD DENSITY FOR TROPICAL FOREST TREES A FIELD MANUAL Author Dr. Jerome Chave (chave@cict.fr) Lab. Evolution et Diversité Biologique Université Paul Sabatier

More information

rarecorvettes.com, joe@rarecorvettes.com, (831) 475-4442 Pacific Time Zone

rarecorvettes.com, joe@rarecorvettes.com, (831) 475-4442 Pacific Time Zone INTRODUCTION TO WHEEL ALIGNMENT A SHORT COURSE ON WHEEL ALIGNMENT, FRONT AND REAR PREPARED FOR THE N.C.R.S. NATIONAL CONVENTION JUNE 29 TO JULY 5, 2012 by: JOE CALCAGNO, RARE CORVETTES rarecorvettes.com,

More information

VISM Evolution Scope Series

VISM Evolution Scope Series 1 VISM Evolution Scope Series Congratulations on the purchase of your New VISM Evolution (EVO) Series Scope! The EVO Series of Scopes give you many great high end features and various magnification ranges

More information

DASH KIT INSTALLATION

DASH KIT INSTALLATION ÿÿÿÿÿ ÿÿÿÿÿÿÿÿÿÿÿÿ ÿÿÿ ÿÿÿÿÿ ÿÿ ÿÿÿ ÿÿÿÿÿÿÿÿÿÿÿÿÿÿ ÿÿÿÿÿÿÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿ ÿÿÿÿÿ ÿÿÿÿÿÿÿÿ PROUDLY MADE IN THE USA DASH KIT INSTALLATION These instructions are aimed at the do-it-yourself installer. Read

More information

Unit 4 Practice Test: Rotational Motion

Unit 4 Practice Test: Rotational Motion Unit 4 Practice Test: Rotational Motion Multiple Guess Identify the letter of the choice that best completes the statement or answers the question. 1. How would an angle in radians be converted to an angle

More information

What Do You See? FOR 274: Forest Measurements and Inventory. Logs and Scaling: Definitions. Tree and Wood Volume Log Volumes Cords Weight Scaling

What Do You See? FOR 274: Forest Measurements and Inventory. Logs and Scaling: Definitions. Tree and Wood Volume Log Volumes Cords Weight Scaling What Do You See? FOR 274: Forest Measurements and Inventory Tree and Wood Volume Log Volumes Cords Weight Scaling Logs and Scaling: Definitions Logs: cut trees lengths of 8ft or more The process of measuring

More information

Quick Reference ebook

Quick Reference ebook This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

More information

The Hive Bodies. In the Beekeeper s Work Shop. Building a Bee Hive: The Hive Bodies. by Stephen E. Tilmann

The Hive Bodies. In the Beekeeper s Work Shop. Building a Bee Hive: The Hive Bodies. by Stephen E. Tilmann The Hive Bodies In the Beekeeper s Work Shop The hive body is the heart of a managed bee hive colony (Figure 1). It is where the queen lays her eggs, the house bees raise the brood and the workers store

More information

KNITTING MACHINE Quick Tips for Knitting Success

KNITTING MACHINE Quick Tips for Knitting Success Visit our website: www.nsiinnovations.com KNITTING MACHINE Quick Tips for Knitting Success Intended for Adult Use No. 7590-08 Addendum BEFORE YOU START: Before you start knitting, wind your yarn into an

More information

DIY CABINET REFACING INSTALLATION GUIDE

DIY CABINET REFACING INSTALLATION GUIDE DIY CABINET REFACING INSTALLATION GUIDE CABINET REFACING INSTALLATION Are you ready to reface your outdated cabinets? This guide will show you how to install your new Facelifters Cabinet Refacing Products

More information

Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

More information

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square. Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional

More information

The tablesaw may be your shop s most valuable cutting. Crosscut Sleds. Foolproof. Innovative approach guarantees perfect results

The tablesaw may be your shop s most valuable cutting. Crosscut Sleds. Foolproof. Innovative approach guarantees perfect results Foolproof Crosscut Sleds Innovative approach guarantees perfect results B Y A L A N T U R N E R The tablesaw may be your shop s most valuable cutting tool, but for precise, repeatable crosscuts it needs

More information

Hive Top Ventilation Shims

Hive Top Ventilation Shims Hive Top Ventilation Shims When preparing your bee hives for the winter, it is very important to provide for ventilation at the top of the hive. Through out the winter, the bees are expelling a lot of

More information

OPERATING P L AYA B I L I T Y P R E C I S I O N D E S I G N

OPERATING P L AYA B I L I T Y P R E C I S I O N D E S I G N P L AYA B I L I T Y P R E C I S I O N P E R F O R M A N C E OPERATING INSTRUCTIONS FOR: GolfWorks Loft and Lie Gauges code: HGCG/DGCG/LOLI2 4820 Jacksontown Road P.O. Box 3008 Newark, Ohio 43058-3008 Toll-Free:

More information

BUILD A CARPORT. 2 - Planning the carport. 3 - Designing the carport

BUILD A CARPORT. 2 - Planning the carport. 3 - Designing the carport BUILD A CARPORT You only need basic DIY and woodworking skills to build a carport. The most important part of the job is setting the supporting posts truly vertical - a job for which another pair of hands

More information

PIZZA! PIZZA! TEACHER S GUIDE and ANSWER KEY

PIZZA! PIZZA! TEACHER S GUIDE and ANSWER KEY PIZZA! PIZZA! TEACHER S GUIDE and ANSWER KEY The Student Handout is page 11. Give this page to students as a separate sheet. Area of Circles and Squares Circumference and Perimeters Volume of Cylinders

More information

Installation & Technical Guide

Installation & Technical Guide Of the very few negative responses that I have received regarding this product, the one that I find most humorous is this one: Contractors are too rough on the product. I don t think this can stand up

More information

Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

More information

Experiment 2: Conservation of Momentum

Experiment 2: Conservation of Momentum Experiment 2: Conservation of Momentum Learning Goals After you finish this lab, you will be able to: 1. Use Logger Pro to analyze video and calculate position, velocity, and acceleration. 2. Use the equations

More information